Soliton solutions are investigated employing the nonlinear Schrödinger equation (NLSE) with an additional term corresponding to an external periodic field. In particular, we use this equation to describe the behavior of solitons in fiber optics in the case of anomalous dispersion. Employing the framework of variational analysis and analytical approximations, single peaked soliton solutions are derived, which exhibit variations of the solitonic parameters due to the effect of the periodic potential and a harmonic oscillator motion of the soliton center, when the frequency of the external field is small, whereas high values of the frequency of the external field produce static solitons. Finally, a variational-numerical analysis was developed and compared with a purely numerical model.
|Journal||Journal of Nonlinear Optical Physics and Materials|
|State||Published - 1 Sep 2016|
Bibliographical notePublisher Copyright:
© 2016 World Scientific Publishing Company.
- nonlinear guided waves
- nonlinear optics
- numerical methods
- Soliton dynamics
- variational methods